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Finding the Fourth Proportional to 114,451.98, 171,646.74 and 47,881.32

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Solution

The fourth proportional to 114,451.98, 171,646.74 and 47,881.32 is: 71,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,451.98 : 171,646.74 = 47,881.32 : x
  2. Step 2: Convert to fraction form
    114,451.98/171,646.74 = 47,881.32/x
  3. Step 3: Cross multiply
    114,451.98x = 171,646.74 × 47,881.32
  4. Step 4: Simplify right side
    114,451.98x = 8,218,672,484.90
  5. Step 5: Solve for x
    x = 8,218,672,484.90/114,451.98
  6. Step 6: Final answer
    x = 71,808.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.